7211075664 has 160 divisors (see below), whose sum is σ = 20844888064. Its totient is φ = 2133112320.

The previous prime is 7211075659. The next prime is 7211075687. The reversal of 7211075664 is 4665701127.

It is a super-2 number, since 2×7211075664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3151929 + ... + 3154215.

Almost surely, 2^7211075664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7211075664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10422444032).

7211075664 is an abundant number, since it is smaller than the sum of its proper divisors (13633812400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7211075664 is a wasteful number, since it uses less digits than its factorization.

7211075664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 7211075664 is about 84918.0526390001. The cubic root of 7211075664 is about 1931.9683949067.

The spelling of 7211075664 in words is "seven billion, two hundred eleven million, seventy-five thousand, six hundred sixty-four".